135378531793768640000
135,378,531,793,768,640,000 is an even composite number composed of five prime numbers multiplied together.
135378531793768640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 135378531793768640000:
29 × 54 × 133 × 192 × 8113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 811 × 811 × 811)See below for interesting mathematical facts about the number 135378531793768640000 from the Numbermatics database.
Names of 135378531793768640000
- Cardinal: 135378531793768640000 can be written as One hundred thirty-five quintillion, three hundred seventy-eight quadrillion, five hundred thirty-one trillion, seven hundred ninety-three billion, seven hundred sixty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3537853179376864 × 1020
Factors of 135378531793768640000
Divisors of 135378531793768640000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 128 130 152 160 169 190 200 208 247 250 256 260 304 320 325 338 361 380 400 416 475 494 500 512 520 608 625 640 650 676 722 760 800 811 832 845 950 988 1000 1040 1216 1235 1250 1280 1300 1352 1444 1520 1600 1622 1625 1664 1690 1805 1900 1976 2000 2080 2197 2375 2432 2470 2500 2560 2600 2704 2888 3040 3200 3211 3244 3250 3328 3380 3610 3800 3952 4000 4055 4160 4225 4394 4693 4750 4864 4940 5000 5200 5408 5776 6080 6175 6400 6422 6488 6500 6656 6760 7220 7600 7904 8000 8110 8125 8320 8450 8788 9025 9386 9500 9728 9880 10000 10400 10543 10816 10985 11552 11875 12160 12350 12800 12844 12976 13000 13520 14440 15200 15409 15808 16000 16055 16220 16250 16640 16900 17576 18050 18772 19000 19760 20000 20275 20800 21086 21125 21632 21970 23104 23465 23750 24320 24700 25688 25952 26000 27040 28880 30400 30818 30875 31616 32000 32110 32440 32500 33280 33800 35152 36100 37544 38000 39520 40000 40550 41600 41743 42172 42250 43264 43940 45125 46208 46930 47500 48640 49400 51376 51904 52000 52715 54080 54925 57760 60800 61009 61636 61750 63232 64000 64220 64880 65000 67600 70304 72200 75088 76000 77045 79040 80000 80275 81100 83200 83486 84344 84500 86528 87880 90250 92416 93860 95000 98800 101375 102752 103808 104000 105430 105625 108160 109850 115520 117325 121600 122018 123272 123500 126464 128440 129760 130000 135200 137059 140608 144400 150176 152000 154090 154375 158080 160000 160550 162200 166400 166972 168688 169000 175760 180500 184832 187720 190000 197600 200317 202750 205504 207616 208000 208715 210860 211250 216320 219700 225625 231040 234650 243200 244036 246544 247000 256880 259520 260000 263575 270400 274118 274625 281216 288800 292771 300352 304000 305045 308180 308750 316160 320000 321100 324400 333944 337376 338000 351520 361000 375440 380000 385225 395200 400634 401375 405500 411008 415232 416000 417430 421720 422500 432640 439400 451250 462080 469300 488072 493088 494000 506875 513760 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8563925341205000 8785679264960000 8906482354853200 9375244584056000 10013205014332000 10413733214905280 10432994127140000 10540215804560000 10576447796388175 10961824436742400 11133102943566500 11400297414212096 11719055730070000 12323944633024000 12516506267915000 12840608156480000 13017166518631600 13537853179376864 13702280545928000 13916378679458125 14250371767765120 14423453206240000 15000391334489600 15404930791280000 16021128022931200 16271458148289500 16661973143848448 16692790603424000 16922316474221080 17127850682410000 17812964709706400 18750489168112000 20026410028664000 20339322685361875 20827466429810560 20865988254280000 21080431609120000 21152895592776350 21923648873484800 22266205887133000 23438111460140000 25033012535830000 26034333037263200 27075706358753728 27404561091856000 27832757358916250 28500743535530240 28846906412480000 30809861582560000 32042256045862400 32542916296579000 33385581206848000 33844632948442160 34255701364820000 35625929419412800 37500978336224000 40052820057328000 40678645370723750 41654932859621120 41731976508560000 42160863218240000 42305791185552700 44532411774266000 46876222920280000 50066025071660000 52068666074526400 52882238981940875 54151412717507456 54809122183712000 55665514717832500 57001487071060480 61619723165120000 65085832593158000 67689265896884320 68511402729640000 71251858838825600 75001956672448000 80105640114656000 81357290741447500 83309865719242240 83463953017120000 84611582371105400 89064823548532000 93752445840560000 100132050143320000 104137332149052800 105764477963881750 108302825435014912 109618244367424000 111331029435665000 130171665186316000 135378531793768640 137022805459280000 142503717677651200 160211280229312000 162714581482895000 166927906034240000 169223164742210800 178129647097064000 187504891681120000 200264100286640000 208274664298105600 211528955927763500 216605650870029824 222662058871330000 260343330372632000 264411194909704375 270757063587537280 274045610918560000 285007435355302400 325429162965790000 338446329484421600 356259294194128000 375009783362240000 400528200573280000 416549328596211200 423057911855527000 445324117742660000 520686660745264000 528822389819408750 541514127175074560 548091221837120000 650858325931580000 676892658968843200 712518588388256000 801056401146560000 846115823711054000 890648235485320000 1041373321490528000 1057644779638817500 1083028254350149120 1301716651863160000 1353785317937686400 1425037176776512000 1692231647422108000 1781296470970640000 2082746642981056000 2115289559277635000 2603433303726320000 2707570635875372800 3384463294844216000 3562592941941280000 4230579118555270000 5206866607452640000 5415141271750745600 6768926589688432000 7125185883882560000 8461158237110540000 10413733214905280000 13537853179376864000 16922316474221080000 27075706358753728000 33844632948442160000 67689265896884320000 135378531793768640000
- Sum of all divisors σ(n): 386925184441288452960
- Sum of proper divisors (its aliquot sum) s(n): 251546652647519812960
- 135378531793768640000 is an abundant number, because the sum of its proper divisors (251546652647519812960) is greater than itself. Its abundance is 116168120853751172960
Bases of 135378531793768640000
- Binary: 11101010110110000010010100101100110011101011000000101101110000000002
- Hexadecimal: 0x756C1296675816E00
- Base-36: SKJJ8D33WQM0W
Squares and roots of 135378531793768640000
- 135378531793768640000 squared (1353785317937686400002) is 18327346870636426504204333847449600000000
- 135378531793768640000 cubed (1353785317937686400003) is 2481129311021879655541980240803533304733636460544000000000000
-
The
square root of 135378531793768640000 is 11635228050.7847649149 -
The
cube root of 135378531793768640000 is 5134718.0342883873
Scales and comparisons
How big is 135378531793768640000?- 135,378,531,793,768,640,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,378,531,793,768,640,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135378531793768640000 cubic inches would be around 427893.2 feet tall.
Recreational maths with 135378531793768640000
- 135378531793768640000 backwards is 000046867397135873531
- The number of decimal digits it has is: 21
- The sum of 135378531793768640000's digits is 86
- More coming soon!
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"Number 135378531793768640000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 135378531793768640000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/135378531793768640000/
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Numbermatics. 2024. "Number 135378531793768640000 - Facts about the integer". https://numbermatics.com/n/135378531793768640000/
The information we have on file for 135378531793768640000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 135378531793768640000, math, Factors of 135378531793768640000, curriculum, school, college, exams, university, Prime factorization of 135378531793768640000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quintillion, three hundred seventy-eight quadrillion, five hundred thirty-one trillion, seven hundred ninety-three billion, seven hundred sixty-eight million, six hundred forty thousand.